1. The problem asks to find the scale factor value in fraction form. 2. The scale factor is the ratio of any two corresponding lengths in similar figures or scaled objects. 3. The formula for scale factor is $$\text{Scale Factor} = \frac{\text{Length on image}}{\text{Length on original}}$$. 4. To express the scale factor as a fraction, write the ratio of the two lengths as a fraction and simplify if possible. 5. For example, if the length on the image is 6 units and the length on the original is 9 units, then the scale factor is $$\frac{6}{9}$$. 6. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (3): $$\frac{\cancel{6}^2}{\cancel{9}^3} = \frac{2}{3}$$. 7. Therefore, the scale factor value in fraction form is $$\frac{2}{3}$$. 8. If you provide specific lengths, I can calculate the exact scale factor fraction for you.